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Finding the Fourth Proportional to 185.23, 277.26 and 103.83

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Solution

The fourth proportional to 185.23, 277.26 and 103.83 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.23 : 277.26 = 103.83 : x
  2. Step 2: Convert to fraction form
    185.23/277.26 = 103.83/x
  3. Step 3: Cross multiply
    185.23x = 277.26 × 103.83
  4. Step 4: Simplify right side
    185.23x = 28,786.52
  5. Step 5: Solve for x
    x = 28,786.52/185.23
  6. Step 6: Final answer
    x = 155.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.